On δ_p^α- Closed Sets, δ_p^α-Continuity and α-δ_P-almost Compactness for Crisp Subsets in a Fuzzy Topological Space

Abstract

This paper is a continuation of the study of almost compactness for crisp subsets in a fuzzy topological space, initiated in [2] by using shading of Gantner [6]. Here we introduce and study a new class of ordinary subsets, called closed sets, which inherit almost compactness of a space (endowed with a fuzzy topology). Again a new type of function, called continuous function, between two fuzzy topological spaces is introduced and shown that almost compactness of crisp subsets remains invariant under this function.